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Finding the Third Proportional to 127,672.50 and 202,069.50

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Solution

The third proportional to 127,672.50 and 202,069.50 is: 319,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,672.50 : 202,069.50 = 202,069.50 : x
  2. Step 2: Convert to fraction form
    127,672.50/202,069.50 = 202,069.50/x
  3. Step 3: Cross multiply
    127,672.50x = 202,069.50 × 202,069.50
  4. Step 4: Simplify right side
    127,672.50x = 40,832,082,830.25
  5. Step 5: Solve for x
    x = 40,832,082,830.25/127,672.50
  6. Step 6: Final answer
    x = 319,818.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.