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Finding the Third Proportional to 60,044 and 130,344

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Solution

The third proportional to 60,044 and 130,344 is: 282,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,044 : 130,344 = 130,344 : x
  2. Step 2: Convert to fraction form
    60,044/130,344 = 130,344/x
  3. Step 3: Cross multiply
    60,044x = 130,344 × 130,344
  4. Step 4: Simplify right side
    60,044x = 16,989,558,336
  5. Step 5: Solve for x
    x = 16,989,558,336/60,044
  6. Step 6: Final answer
    x = 282,951.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.