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Finding the Third Proportional to 56,748 and 83,553

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Solution

The third proportional to 56,748 and 83,553 is: 123,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,748 : 83,553 = 83,553 : x
  2. Step 2: Convert to fraction form
    56,748/83,553 = 83,553/x
  3. Step 3: Cross multiply
    56,748x = 83,553 × 83,553
  4. Step 4: Simplify right side
    56,748x = 6,981,103,809
  5. Step 5: Solve for x
    x = 6,981,103,809/56,748
  6. Step 6: Final answer
    x = 123,019.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.