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Finding the Third Proportional to 103,699 and 146,709

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Solution

The third proportional to 103,699 and 146,709 is: 207,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 146,709 = 146,709 : x
  2. Step 2: Convert to fraction form
    103,699/146,709 = 146,709/x
  3. Step 3: Cross multiply
    103,699x = 146,709 × 146,709
  4. Step 4: Simplify right side
    103,699x = 21,523,530,681
  5. Step 5: Solve for x
    x = 21,523,530,681/103,699
  6. Step 6: Final answer
    x = 207,557.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.