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Finding the Third Proportional to 96,318 and 141,687

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Solution

The third proportional to 96,318 and 141,687 is: 208,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,318 : 141,687 = 141,687 : x
  2. Step 2: Convert to fraction form
    96,318/141,687 = 141,687/x
  3. Step 3: Cross multiply
    96,318x = 141,687 × 141,687
  4. Step 4: Simplify right side
    96,318x = 20,075,205,969
  5. Step 5: Solve for x
    x = 20,075,205,969/96,318
  6. Step 6: Final answer
    x = 208,426.32

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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.