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Finding the Third Proportional to 73,011 and 105,508.50

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Solution

The third proportional to 73,011 and 105,508.50 is: 152,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,011 : 105,508.50 = 105,508.50 : x
  2. Step 2: Convert to fraction form
    73,011/105,508.50 = 105,508.50/x
  3. Step 3: Cross multiply
    73,011x = 105,508.50 × 105,508.50
  4. Step 4: Simplify right side
    73,011x = 11,132,043,572.25
  5. Step 5: Solve for x
    x = 11,132,043,572.25/73,011
  6. Step 6: Final answer
    x = 152,470.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.