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Finding the Third Proportional to 65,082 and 97,368

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Solution

The third proportional to 65,082 and 97,368 is: 145,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082 : 97,368 = 97,368 : x
  2. Step 2: Convert to fraction form
    65,082/97,368 = 97,368/x
  3. Step 3: Cross multiply
    65,082x = 97,368 × 97,368
  4. Step 4: Simplify right side
    65,082x = 9,480,527,424
  5. Step 5: Solve for x
    x = 9,480,527,424/65,082
  6. Step 6: Final answer
    x = 145,670.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.