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Finding the Third Proportional to 65,527 and 154,037

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Solution

The third proportional to 65,527 and 154,037 is: 362,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527 : 154,037 = 154,037 : x
  2. Step 2: Convert to fraction form
    65,527/154,037 = 154,037/x
  3. Step 3: Cross multiply
    65,527x = 154,037 × 154,037
  4. Step 4: Simplify right side
    65,527x = 23,727,397,369
  5. Step 5: Solve for x
    x = 23,727,397,369/65,527
  6. Step 6: Final answer
    x = 362,101.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.