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Finding the Third Proportional to 84,111 and 124,951.13

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Solution

The third proportional to 84,111 and 124,951.13 is: 185,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,111 : 124,951.13 = 124,951.13 : x
  2. Step 2: Convert to fraction form
    84,111/124,951.13 = 124,951.13/x
  3. Step 3: Cross multiply
    84,111x = 124,951.13 × 124,951.13
  4. Step 4: Simplify right side
    84,111x = 15,612,783,638.77
  5. Step 5: Solve for x
    x = 15,612,783,638.77/84,111
  6. Step 6: Final answer
    x = 185,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.