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Finding the Third Proportional to 137,607.75 and 279,088.13

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Solution

The third proportional to 137,607.75 and 279,088.13 is: 566,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,607.75 : 279,088.13 = 279,088.13 : x
  2. Step 2: Convert to fraction form
    137,607.75/279,088.13 = 279,088.13/x
  3. Step 3: Cross multiply
    137,607.75x = 279,088.13 × 279,088.13
  4. Step 4: Simplify right side
    137,607.75x = 77,890,181,516.02
  5. Step 5: Solve for x
    x = 77,890,181,516.02/137,607.75
  6. Step 6: Final answer
    x = 566,030.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.