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Finding the Third Proportional to 53,177.63 and 82,330.88

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Solution

The third proportional to 53,177.63 and 82,330.88 is: 127,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,177.63 : 82,330.88 = 82,330.88 : x
  2. Step 2: Convert to fraction form
    53,177.63/82,330.88 = 82,330.88/x
  3. Step 3: Cross multiply
    53,177.63x = 82,330.88 × 82,330.88
  4. Step 4: Simplify right side
    53,177.63x = 6,778,372,978.27
  5. Step 5: Solve for x
    x = 6,778,372,978.27/53,177.63
  6. Step 6: Final answer
    x = 127,466.64

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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.