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Finding the Third Proportional to 61,808 and 135,280

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Solution

The third proportional to 61,808 and 135,280 is: 296,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808 : 135,280 = 135,280 : x
  2. Step 2: Convert to fraction form
    61,808/135,280 = 135,280/x
  3. Step 3: Cross multiply
    61,808x = 135,280 × 135,280
  4. Step 4: Simplify right side
    61,808x = 18,300,678,400
  5. Step 5: Solve for x
    x = 18,300,678,400/61,808
  6. Step 6: Final answer
    x = 296,089.15

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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.