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Finding the Third Proportional to 78,744.66 and 121,598.72

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Solution

The third proportional to 78,744.66 and 121,598.72 is: 187,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,744.66 : 121,598.72 = 121,598.72 : x
  2. Step 2: Convert to fraction form
    78,744.66/121,598.72 = 121,598.72/x
  3. Step 3: Cross multiply
    78,744.66x = 121,598.72 × 121,598.72
  4. Step 4: Simplify right side
    78,744.66x = 14,786,248,401.64
  5. Step 5: Solve for x
    x = 14,786,248,401.64/78,744.66
  6. Step 6: Final answer
    x = 187,774.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.