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Finding the Third Proportional to 69,750 and 152,541

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Solution

The third proportional to 69,750 and 152,541 is: 333,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,750 : 152,541 = 152,541 : x
  2. Step 2: Convert to fraction form
    69,750/152,541 = 152,541/x
  3. Step 3: Cross multiply
    69,750x = 152,541 × 152,541
  4. Step 4: Simplify right side
    69,750x = 23,268,756,681
  5. Step 5: Solve for x
    x = 23,268,756,681/69,750
  6. Step 6: Final answer
    x = 333,602.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.