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Finding the Third Proportional to 49,281.18 and 77,206.01

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Solution

The third proportional to 49,281.18 and 77,206.01 is: 120,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281.18 : 77,206.01 = 77,206.01 : x
  2. Step 2: Convert to fraction form
    49,281.18/77,206.01 = 77,206.01/x
  3. Step 3: Cross multiply
    49,281.18x = 77,206.01 × 77,206.01
  4. Step 4: Simplify right side
    49,281.18x = 5,960,768,320.91
  5. Step 5: Solve for x
    x = 5,960,768,320.91/49,281.18
  6. Step 6: Final answer
    x = 120,954.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.