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Finding the Third Proportional to 84,798 and 124,605

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Solution

The third proportional to 84,798 and 124,605 is: 183,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,798 : 124,605 = 124,605 : x
  2. Step 2: Convert to fraction form
    84,798/124,605 = 124,605/x
  3. Step 3: Cross multiply
    84,798x = 124,605 × 124,605
  4. Step 4: Simplify right side
    84,798x = 15,526,406,025
  5. Step 5: Solve for x
    x = 15,526,406,025/84,798
  6. Step 6: Final answer
    x = 183,098.73

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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.