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Finding the Third Proportional to 61,784 and 135,598

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Solution

The third proportional to 61,784 and 135,598 is: 297,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784 : 135,598 = 135,598 : x
  2. Step 2: Convert to fraction form
    61,784/135,598 = 135,598/x
  3. Step 3: Cross multiply
    61,784x = 135,598 × 135,598
  4. Step 4: Simplify right side
    61,784x = 18,386,817,604
  5. Step 5: Solve for x
    x = 18,386,817,604/61,784
  6. Step 6: Final answer
    x = 297,598.37

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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.