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Finding the Third Proportional to 64,068 and 140,202

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Solution

The third proportional to 64,068 and 140,202 is: 306,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,068 : 140,202 = 140,202 : x
  2. Step 2: Convert to fraction form
    64,068/140,202 = 140,202/x
  3. Step 3: Cross multiply
    64,068x = 140,202 × 140,202
  4. Step 4: Simplify right side
    64,068x = 19,656,600,804
  5. Step 5: Solve for x
    x = 19,656,600,804/64,068
  6. Step 6: Final answer
    x = 306,808.40

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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.