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Finding the Third Proportional to 112,640 and 157,478.25

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Solution

The third proportional to 112,640 and 157,478.25 is: 220,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,640 : 157,478.25 = 157,478.25 : x
  2. Step 2: Convert to fraction form
    112,640/157,478.25 = 157,478.25/x
  3. Step 3: Cross multiply
    112,640x = 157,478.25 × 157,478.25
  4. Step 4: Simplify right side
    112,640x = 24,799,399,223.06
  5. Step 5: Solve for x
    x = 24,799,399,223.06/112,640
  6. Step 6: Final answer
    x = 220,165.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.