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Finding the Third Proportional to 103,653 and 146,791

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Solution

The third proportional to 103,653 and 146,791 is: 207,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653 : 146,791 = 146,791 : x
  2. Step 2: Convert to fraction form
    103,653/146,791 = 146,791/x
  3. Step 3: Cross multiply
    103,653x = 146,791 × 146,791
  4. Step 4: Simplify right side
    103,653x = 21,547,597,681
  5. Step 5: Solve for x
    x = 21,547,597,681/103,653
  6. Step 6: Final answer
    x = 207,882.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.