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Finding the Third Proportional to 58,717.50 and 128,508

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Solution

The third proportional to 58,717.50 and 128,508 is: 281,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,717.50 : 128,508 = 128,508 : x
  2. Step 2: Convert to fraction form
    58,717.50/128,508 = 128,508/x
  3. Step 3: Cross multiply
    58,717.50x = 128,508 × 128,508
  4. Step 4: Simplify right side
    58,717.50x = 16,514,306,064
  5. Step 5: Solve for x
    x = 16,514,306,064/58,717.50
  6. Step 6: Final answer
    x = 281,250.16

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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.