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Finding the Third Proportional to 42,265.50 and 90,528

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Solution

The third proportional to 42,265.50 and 90,528 is: 193,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.50 : 90,528 = 90,528 : x
  2. Step 2: Convert to fraction form
    42,265.50/90,528 = 90,528/x
  3. Step 3: Cross multiply
    42,265.50x = 90,528 × 90,528
  4. Step 4: Simplify right side
    42,265.50x = 8,195,318,784
  5. Step 5: Solve for x
    x = 8,195,318,784/42,265.50
  6. Step 6: Final answer
    x = 193,900.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.