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Finding the Third Proportional to 61,528 and 87,985

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Solution

The third proportional to 61,528 and 87,985 is: 125,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,528 : 87,985 = 87,985 : x
  2. Step 2: Convert to fraction form
    61,528/87,985 = 87,985/x
  3. Step 3: Cross multiply
    61,528x = 87,985 × 87,985
  4. Step 4: Simplify right side
    61,528x = 7,741,360,225
  5. Step 5: Solve for x
    x = 7,741,360,225/61,528
  6. Step 6: Final answer
    x = 125,818.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.