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Finding the Third Proportional to 58,070.50 and 127,212.50

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Solution

The third proportional to 58,070.50 and 127,212.50 is: 278,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,070.50 : 127,212.50 = 127,212.50 : x
  2. Step 2: Convert to fraction form
    58,070.50/127,212.50 = 127,212.50/x
  3. Step 3: Cross multiply
    58,070.50x = 127,212.50 × 127,212.50
  4. Step 4: Simplify right side
    58,070.50x = 16,183,020,156.25
  5. Step 5: Solve for x
    x = 16,183,020,156.25/58,070.50
  6. Step 6: Final answer
    x = 278,678.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.