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Finding the Third Proportional to 77,527.55 and 117,460.13

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Solution

The third proportional to 77,527.55 and 117,460.13 is: 177,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,527.55 : 117,460.13 = 117,460.13 : x
  2. Step 2: Convert to fraction form
    77,527.55/117,460.13 = 117,460.13/x
  3. Step 3: Cross multiply
    77,527.55x = 117,460.13 × 117,460.13
  4. Step 4: Simplify right side
    77,527.55x = 13,796,880,965.02
  5. Step 5: Solve for x
    x = 13,796,880,965.02/77,527.55
  6. Step 6: Final answer
    x = 177,961.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.