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Finding the Third Proportional to 113,034 and 153,513.75

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Solution

The third proportional to 113,034 and 153,513.75 is: 208,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,034 : 153,513.75 = 153,513.75 : x
  2. Step 2: Convert to fraction form
    113,034/153,513.75 = 153,513.75/x
  3. Step 3: Cross multiply
    113,034x = 153,513.75 × 153,513.75
  4. Step 4: Simplify right side
    113,034x = 23,566,471,439.06
  5. Step 5: Solve for x
    x = 23,566,471,439.06/113,034
  6. Step 6: Final answer
    x = 208,490.11

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.