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Finding the Third Proportional to 70,752.38 and 105,166.69

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Solution

The third proportional to 70,752.38 and 105,166.69 is: 156,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,752.38 : 105,166.69 = 105,166.69 : x
  2. Step 2: Convert to fraction form
    70,752.38/105,166.69 = 105,166.69/x
  3. Step 3: Cross multiply
    70,752.38x = 105,166.69 × 105,166.69
  4. Step 4: Simplify right side
    70,752.38x = 11,060,032,159.72
  5. Step 5: Solve for x
    x = 11,060,032,159.72/70,752.38
  6. Step 6: Final answer
    x = 156,320.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.