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Finding the Third Proportional to 64,681.50 and 141,387

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Solution

The third proportional to 64,681.50 and 141,387 is: 309,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,681.50 : 141,387 = 141,387 : x
  2. Step 2: Convert to fraction form
    64,681.50/141,387 = 141,387/x
  3. Step 3: Cross multiply
    64,681.50x = 141,387 × 141,387
  4. Step 4: Simplify right side
    64,681.50x = 19,990,283,769
  5. Step 5: Solve for x
    x = 19,990,283,769/64,681.50
  6. Step 6: Final answer
    x = 309,057.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.