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Finding the Third Proportional to 84,748 and 124,287

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Solution

The third proportional to 84,748 and 124,287 is: 182,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,748 : 124,287 = 124,287 : x
  2. Step 2: Convert to fraction form
    84,748/124,287 = 124,287/x
  3. Step 3: Cross multiply
    84,748x = 124,287 × 124,287
  4. Step 4: Simplify right side
    84,748x = 15,447,258,369
  5. Step 5: Solve for x
    x = 15,447,258,369/84,748
  6. Step 6: Final answer
    x = 182,272.84

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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.