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Finding the Third Proportional to 128,127 and 272,020.50

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Solution

The third proportional to 128,127 and 272,020.50 is: 577,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127 : 272,020.50 = 272,020.50 : x
  2. Step 2: Convert to fraction form
    128,127/272,020.50 = 272,020.50/x
  3. Step 3: Cross multiply
    128,127x = 272,020.50 × 272,020.50
  4. Step 4: Simplify right side
    128,127x = 73,995,152,420.25
  5. Step 5: Solve for x
    x = 73,995,152,420.25/128,127
  6. Step 6: Final answer
    x = 577,514.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.