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Finding the Third Proportional to 45,386.75 and 72,819.75

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Solution

The third proportional to 45,386.75 and 72,819.75 is: 116,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,386.75 : 72,819.75 = 72,819.75 : x
  2. Step 2: Convert to fraction form
    45,386.75/72,819.75 = 72,819.75/x
  3. Step 3: Cross multiply
    45,386.75x = 72,819.75 × 72,819.75
  4. Step 4: Simplify right side
    45,386.75x = 5,302,715,990.06
  5. Step 5: Solve for x
    x = 5,302,715,990.06/45,386.75
  6. Step 6: Final answer
    x = 116,834.01

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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.