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Finding the Third Proportional to 83,706.75 and 175,587.75

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Solution

The third proportional to 83,706.75 and 175,587.75 is: 368,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.75 : 175,587.75 = 175,587.75 : x
  2. Step 2: Convert to fraction form
    83,706.75/175,587.75 = 175,587.75/x
  3. Step 3: Cross multiply
    83,706.75x = 175,587.75 × 175,587.75
  4. Step 4: Simplify right side
    83,706.75x = 30,831,057,950.06
  5. Step 5: Solve for x
    x = 30,831,057,950.06/83,706.75
  6. Step 6: Final answer
    x = 368,322.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.