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Finding the Third Proportional to 42,000.75 and 93,387.38

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Solution

The third proportional to 42,000.75 and 93,387.38 is: 207,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,000.75 : 93,387.38 = 93,387.38 : x
  2. Step 2: Convert to fraction form
    42,000.75/93,387.38 = 93,387.38/x
  3. Step 3: Cross multiply
    42,000.75x = 93,387.38 × 93,387.38
  4. Step 4: Simplify right side
    42,000.75x = 8,721,201,809.39
  5. Step 5: Solve for x
    x = 8,721,201,809.39/42,000.75
  6. Step 6: Final answer
    x = 207,643.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.