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Finding the Third Proportional to 57,748 and 84,623

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Solution

The third proportional to 57,748 and 84,623 is: 124,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748 : 84,623 = 84,623 : x
  2. Step 2: Convert to fraction form
    57,748/84,623 = 84,623/x
  3. Step 3: Cross multiply
    57,748x = 84,623 × 84,623
  4. Step 4: Simplify right side
    57,748x = 7,161,052,129
  5. Step 5: Solve for x
    x = 7,161,052,129/57,748
  6. Step 6: Final answer
    x = 124,005.20

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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.