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Finding the Third Proportional to 84,689.50 and 124,696.75

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Solution

The third proportional to 84,689.50 and 124,696.75 is: 183,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,689.50 : 124,696.75 = 124,696.75 : x
  2. Step 2: Convert to fraction form
    84,689.50/124,696.75 = 124,696.75/x
  3. Step 3: Cross multiply
    84,689.50x = 124,696.75 × 124,696.75
  4. Step 4: Simplify right side
    84,689.50x = 15,549,279,460.56
  5. Step 5: Solve for x
    x = 15,549,279,460.56/84,689.50
  6. Step 6: Final answer
    x = 183,603.39

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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.