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Finding the Third Proportional to 54,127 and 80,970.50

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Solution

The third proportional to 54,127 and 80,970.50 is: 121,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,127 : 80,970.50 = 80,970.50 : x
  2. Step 2: Convert to fraction form
    54,127/80,970.50 = 80,970.50/x
  3. Step 3: Cross multiply
    54,127x = 80,970.50 × 80,970.50
  4. Step 4: Simplify right side
    54,127x = 6,556,221,870.25
  5. Step 5: Solve for x
    x = 6,556,221,870.25/54,127
  6. Step 6: Final answer
    x = 121,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.