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Finding the Third Proportional to 53,473.50 and 83,119.50

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Solution

The third proportional to 53,473.50 and 83,119.50 is: 129,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,473.50 : 83,119.50 = 83,119.50 : x
  2. Step 2: Convert to fraction form
    53,473.50/83,119.50 = 83,119.50/x
  3. Step 3: Cross multiply
    53,473.50x = 83,119.50 × 83,119.50
  4. Step 4: Simplify right side
    53,473.50x = 6,908,851,280.25
  5. Step 5: Solve for x
    x = 6,908,851,280.25/53,473.50
  6. Step 6: Final answer
    x = 129,201.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.