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Finding the Third Proportional to 58,806 and 88,342

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Solution

The third proportional to 58,806 and 88,342 is: 132,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,806 : 88,342 = 88,342 : x
  2. Step 2: Convert to fraction form
    58,806/88,342 = 88,342/x
  3. Step 3: Cross multiply
    58,806x = 88,342 × 88,342
  4. Step 4: Simplify right side
    58,806x = 7,804,308,964
  5. Step 5: Solve for x
    x = 7,804,308,964/58,806
  6. Step 6: Final answer
    x = 132,712.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.