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Finding the Third Proportional to 147,037 and 157,426

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Solution

The third proportional to 147,037 and 157,426 is: 168,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,037 : 157,426 = 157,426 : x
  2. Step 2: Convert to fraction form
    147,037/157,426 = 157,426/x
  3. Step 3: Cross multiply
    147,037x = 157,426 × 157,426
  4. Step 4: Simplify right side
    147,037x = 24,782,945,476
  5. Step 5: Solve for x
    x = 24,782,945,476/147,037
  6. Step 6: Final answer
    x = 168,549.04

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.