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Finding the Third Proportional to 57,303 and 86,060.25

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Solution

The third proportional to 57,303 and 86,060.25 is: 129,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,303 : 86,060.25 = 86,060.25 : x
  2. Step 2: Convert to fraction form
    57,303/86,060.25 = 86,060.25/x
  3. Step 3: Cross multiply
    57,303x = 86,060.25 × 86,060.25
  4. Step 4: Simplify right side
    57,303x = 7,406,366,630.06
  5. Step 5: Solve for x
    x = 7,406,366,630.06/57,303
  6. Step 6: Final answer
    x = 129,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.