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Finding the Third Proportional to 42,528 and 88,554

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Solution

The third proportional to 42,528 and 88,554 is: 184,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,528 : 88,554 = 88,554 : x
  2. Step 2: Convert to fraction form
    42,528/88,554 = 88,554/x
  3. Step 3: Cross multiply
    42,528x = 88,554 × 88,554
  4. Step 4: Simplify right side
    42,528x = 7,841,810,916
  5. Step 5: Solve for x
    x = 7,841,810,916/42,528
  6. Step 6: Final answer
    x = 184,391.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.