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Finding the Third Proportional to 103,699 and 155,630

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Solution

The third proportional to 103,699 and 155,630 is: 233,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 155,630 = 155,630 : x
  2. Step 2: Convert to fraction form
    103,699/155,630 = 155,630/x
  3. Step 3: Cross multiply
    103,699x = 155,630 × 155,630
  4. Step 4: Simplify right side
    103,699x = 24,220,696,900
  5. Step 5: Solve for x
    x = 24,220,696,900/103,699
  6. Step 6: Final answer
    x = 233,567.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.