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Finding the Third Proportional to 128,521.50 and 272,595

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Solution

The third proportional to 128,521.50 and 272,595 is: 578,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,521.50 : 272,595 = 272,595 : x
  2. Step 2: Convert to fraction form
    128,521.50/272,595 = 272,595/x
  3. Step 3: Cross multiply
    128,521.50x = 272,595 × 272,595
  4. Step 4: Simplify right side
    128,521.50x = 74,308,034,025
  5. Step 5: Solve for x
    x = 74,308,034,025/128,521.50
  6. Step 6: Final answer
    x = 578,175.90

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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.