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Finding the Third Proportional to 132,720 and 205,506

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Solution

The third proportional to 132,720 and 205,506 is: 318,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,720 : 205,506 = 205,506 : x
  2. Step 2: Convert to fraction form
    132,720/205,506 = 205,506/x
  3. Step 3: Cross multiply
    132,720x = 205,506 × 205,506
  4. Step 4: Simplify right side
    132,720x = 42,232,716,036
  5. Step 5: Solve for x
    x = 42,232,716,036/132,720
  6. Step 6: Final answer
    x = 318,209.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.