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Finding the Third Proportional to 45,117 and 64,131.75

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Solution

The third proportional to 45,117 and 64,131.75 is: 91,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,117 : 64,131.75 = 64,131.75 : x
  2. Step 2: Convert to fraction form
    45,117/64,131.75 = 64,131.75/x
  3. Step 3: Cross multiply
    45,117x = 64,131.75 × 64,131.75
  4. Step 4: Simplify right side
    45,117x = 4,112,881,358.06
  5. Step 5: Solve for x
    x = 4,112,881,358.06/45,117
  6. Step 6: Final answer
    x = 91,160.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.