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Finding the Third Proportional to 100,607.50 and 160,752.50

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Solution

The third proportional to 100,607.50 and 160,752.50 is: 256,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,607.50 : 160,752.50 = 160,752.50 : x
  2. Step 2: Convert to fraction form
    100,607.50/160,752.50 = 160,752.50/x
  3. Step 3: Cross multiply
    100,607.50x = 160,752.50 × 160,752.50
  4. Step 4: Simplify right side
    100,607.50x = 25,841,366,256.25
  5. Step 5: Solve for x
    x = 25,841,366,256.25/100,607.50
  6. Step 6: Final answer
    x = 256,853.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.