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Finding the Third Proportional to 59,824 and 87,139

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Solution

The third proportional to 59,824 and 87,139 is: 126,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824 : 87,139 = 87,139 : x
  2. Step 2: Convert to fraction form
    59,824/87,139 = 87,139/x
  3. Step 3: Cross multiply
    59,824x = 87,139 × 87,139
  4. Step 4: Simplify right side
    59,824x = 7,593,205,321
  5. Step 5: Solve for x
    x = 7,593,205,321/59,824
  6. Step 6: Final answer
    x = 126,925.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.