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Finding the Third Proportional to 60,327 and 128,666.25

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Solution

The third proportional to 60,327 and 128,666.25 is: 274,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,327 : 128,666.25 = 128,666.25 : x
  2. Step 2: Convert to fraction form
    60,327/128,666.25 = 128,666.25/x
  3. Step 3: Cross multiply
    60,327x = 128,666.25 × 128,666.25
  4. Step 4: Simplify right side
    60,327x = 16,555,003,889.06
  5. Step 5: Solve for x
    x = 16,555,003,889.06/60,327
  6. Step 6: Final answer
    x = 274,421.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.