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Finding the Third Proportional to 62,480 and 134,944

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Solution

The third proportional to 62,480 and 134,944 is: 291,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,480 : 134,944 = 134,944 : x
  2. Step 2: Convert to fraction form
    62,480/134,944 = 134,944/x
  3. Step 3: Cross multiply
    62,480x = 134,944 × 134,944
  4. Step 4: Simplify right side
    62,480x = 18,209,883,136
  5. Step 5: Solve for x
    x = 18,209,883,136/62,480
  6. Step 6: Final answer
    x = 291,451.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.