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Finding the Third Proportional to 88,699 and 133,970

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Solution

The third proportional to 88,699 and 133,970 is: 202,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,699 : 133,970 = 133,970 : x
  2. Step 2: Convert to fraction form
    88,699/133,970 = 133,970/x
  3. Step 3: Cross multiply
    88,699x = 133,970 × 133,970
  4. Step 4: Simplify right side
    88,699x = 17,947,960,900
  5. Step 5: Solve for x
    x = 17,947,960,900/88,699
  6. Step 6: Final answer
    x = 202,346.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.