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Finding the Third Proportional to 84,735 and 124,912.13

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Solution

The third proportional to 84,735 and 124,912.13 is: 184,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,735 : 124,912.13 = 124,912.13 : x
  2. Step 2: Convert to fraction form
    84,735/124,912.13 = 124,912.13/x
  3. Step 3: Cross multiply
    84,735x = 124,912.13 × 124,912.13
  4. Step 4: Simplify right side
    84,735x = 15,603,038,972.02
  5. Step 5: Solve for x
    x = 15,603,038,972.02/84,735
  6. Step 6: Final answer
    x = 184,139.25

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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.