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Finding the Third Proportional to 101,041.88 and 155,774.81

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Solution

The third proportional to 101,041.88 and 155,774.81 is: 240,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,041.88 : 155,774.81 = 155,774.81 : x
  2. Step 2: Convert to fraction form
    101,041.88/155,774.81 = 155,774.81/x
  3. Step 3: Cross multiply
    101,041.88x = 155,774.81 × 155,774.81
  4. Step 4: Simplify right side
    101,041.88x = 24,265,792,209.41
  5. Step 5: Solve for x
    x = 24,265,792,209.41/101,041.88
  6. Step 6: Final answer
    x = 240,155.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.