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Finding the Third Proportional to 59,735 and 88,471

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Solution

The third proportional to 59,735 and 88,471 is: 131,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,735 : 88,471 = 88,471 : x
  2. Step 2: Convert to fraction form
    59,735/88,471 = 88,471/x
  3. Step 3: Cross multiply
    59,735x = 88,471 × 88,471
  4. Step 4: Simplify right side
    59,735x = 7,827,117,841
  5. Step 5: Solve for x
    x = 7,827,117,841/59,735
  6. Step 6: Final answer
    x = 131,030.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.