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Finding the Third Proportional to 75,615.75 and 114,031.50

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Solution

The third proportional to 75,615.75 and 114,031.50 is: 171,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,615.75 : 114,031.50 = 114,031.50 : x
  2. Step 2: Convert to fraction form
    75,615.75/114,031.50 = 114,031.50/x
  3. Step 3: Cross multiply
    75,615.75x = 114,031.50 × 114,031.50
  4. Step 4: Simplify right side
    75,615.75x = 13,003,182,992.25
  5. Step 5: Solve for x
    x = 13,003,182,992.25/75,615.75
  6. Step 6: Final answer
    x = 171,963.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.