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Finding the Third Proportional to 65,506 and 140,358

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Solution

The third proportional to 65,506 and 140,358 is: 300,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 140,358 = 140,358 : x
  2. Step 2: Convert to fraction form
    65,506/140,358 = 140,358/x
  3. Step 3: Cross multiply
    65,506x = 140,358 × 140,358
  4. Step 4: Simplify right side
    65,506x = 19,700,368,164
  5. Step 5: Solve for x
    x = 19,700,368,164/65,506
  6. Step 6: Final answer
    x = 300,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.