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Finding the Third Proportional to 60,162.75 and 93,146.63

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Solution

The third proportional to 60,162.75 and 93,146.63 is: 144,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,162.75 : 93,146.63 = 93,146.63 : x
  2. Step 2: Convert to fraction form
    60,162.75/93,146.63 = 93,146.63/x
  3. Step 3: Cross multiply
    60,162.75x = 93,146.63 × 93,146.63
  4. Step 4: Simplify right side
    60,162.75x = 8,676,293,748.89
  5. Step 5: Solve for x
    x = 8,676,293,748.89/60,162.75
  6. Step 6: Final answer
    x = 144,213.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.