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Finding the Third Proportional to 72,297 and 158,202

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Solution

The third proportional to 72,297 and 158,202 is: 346,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,297 : 158,202 = 158,202 : x
  2. Step 2: Convert to fraction form
    72,297/158,202 = 158,202/x
  3. Step 3: Cross multiply
    72,297x = 158,202 × 158,202
  4. Step 4: Simplify right side
    72,297x = 25,027,872,804
  5. Step 5: Solve for x
    x = 25,027,872,804/72,297
  6. Step 6: Final answer
    x = 346,181.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.