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Finding the Third Proportional to 84,706 and 124,712

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Solution

The third proportional to 84,706 and 124,712 is: 183,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,706 : 124,712 = 124,712 : x
  2. Step 2: Convert to fraction form
    84,706/124,712 = 124,712/x
  3. Step 3: Cross multiply
    84,706x = 124,712 × 124,712
  4. Step 4: Simplify right side
    84,706x = 15,553,082,944
  5. Step 5: Solve for x
    x = 15,553,082,944/84,706
  6. Step 6: Final answer
    x = 183,612.53

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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.