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Finding the Third Proportional to 91,068.05 and 145,486.76

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Solution

The third proportional to 91,068.05 and 145,486.76 is: 232,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,068.05 : 145,486.76 = 145,486.76 : x
  2. Step 2: Convert to fraction form
    91,068.05/145,486.76 = 145,486.76/x
  3. Step 3: Cross multiply
    91,068.05x = 145,486.76 × 145,486.76
  4. Step 4: Simplify right side
    91,068.05x = 21,166,396,698.79
  5. Step 5: Solve for x
    x = 21,166,396,698.79/91,068.05
  6. Step 6: Final answer
    x = 232,423.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.