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Finding the Third Proportional to 96,944 and 142,220

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Solution

The third proportional to 96,944 and 142,220 is: 208,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,944 : 142,220 = 142,220 : x
  2. Step 2: Convert to fraction form
    96,944/142,220 = 142,220/x
  3. Step 3: Cross multiply
    96,944x = 142,220 × 142,220
  4. Step 4: Simplify right side
    96,944x = 20,226,528,400
  5. Step 5: Solve for x
    x = 20,226,528,400/96,944
  6. Step 6: Final answer
    x = 208,641.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.