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Finding the Third Proportional to 53,148.13 and 82,289.50

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Solution

The third proportional to 53,148.13 and 82,289.50 is: 127,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,148.13 : 82,289.50 = 82,289.50 : x
  2. Step 2: Convert to fraction form
    53,148.13/82,289.50 = 82,289.50/x
  3. Step 3: Cross multiply
    53,148.13x = 82,289.50 × 82,289.50
  4. Step 4: Simplify right side
    53,148.13x = 6,771,561,810.25
  5. Step 5: Solve for x
    x = 6,771,561,810.25/53,148.13
  6. Step 6: Final answer
    x = 127,409.23

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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.