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Finding the Third Proportional to 113,653 and 170,480

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Solution

The third proportional to 113,653 and 170,480 is: 255,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,653 : 170,480 = 170,480 : x
  2. Step 2: Convert to fraction form
    113,653/170,480 = 170,480/x
  3. Step 3: Cross multiply
    113,653x = 170,480 × 170,480
  4. Step 4: Simplify right side
    113,653x = 29,063,430,400
  5. Step 5: Solve for x
    x = 29,063,430,400/113,653
  6. Step 6: Final answer
    x = 255,720.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.