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Finding the Third Proportional to 84,765.38 and 124,106.63

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Solution

The third proportional to 84,765.38 and 124,106.63 is: 181,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,765.38 : 124,106.63 = 124,106.63 : x
  2. Step 2: Convert to fraction form
    84,765.38/124,106.63 = 124,106.63/x
  3. Step 3: Cross multiply
    84,765.38x = 124,106.63 × 124,106.63
  4. Step 4: Simplify right side
    84,765.38x = 15,402,454,368.89
  5. Step 5: Solve for x
    x = 15,402,454,368.89/84,765.38
  6. Step 6: Final answer
    x = 181,706.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.