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Finding the Third Proportional to 59,547.66 and 127,729.41

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Solution

The third proportional to 59,547.66 and 127,729.41 is: 273,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,547.66 : 127,729.41 = 127,729.41 : x
  2. Step 2: Convert to fraction form
    59,547.66/127,729.41 = 127,729.41/x
  3. Step 3: Cross multiply
    59,547.66x = 127,729.41 × 127,729.41
  4. Step 4: Simplify right side
    59,547.66x = 16,314,801,220.98
  5. Step 5: Solve for x
    x = 16,314,801,220.98/59,547.66
  6. Step 6: Final answer
    x = 273,978.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.