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Finding the Third Proportional to 59,056 and 88,421

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Solution

The third proportional to 59,056 and 88,421 is: 132,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,056 : 88,421 = 88,421 : x
  2. Step 2: Convert to fraction form
    59,056/88,421 = 88,421/x
  3. Step 3: Cross multiply
    59,056x = 88,421 × 88,421
  4. Step 4: Simplify right side
    59,056x = 7,818,273,241
  5. Step 5: Solve for x
    x = 7,818,273,241/59,056
  6. Step 6: Final answer
    x = 132,387.45

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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.