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Finding the Third Proportional to 61,509.38 and 84,746.25

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Solution

The third proportional to 61,509.38 and 84,746.25 is: 116,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.38 : 84,746.25 = 84,746.25 : x
  2. Step 2: Convert to fraction form
    61,509.38/84,746.25 = 84,746.25/x
  3. Step 3: Cross multiply
    61,509.38x = 84,746.25 × 84,746.25
  4. Step 4: Simplify right side
    61,509.38x = 7,181,926,889.06
  5. Step 5: Solve for x
    x = 7,181,926,889.06/61,509.38
  6. Step 6: Final answer
    x = 116,761.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.