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Finding the Third Proportional to 109,574 and 156,964

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Solution

The third proportional to 109,574 and 156,964 is: 224,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,574 : 156,964 = 156,964 : x
  2. Step 2: Convert to fraction form
    109,574/156,964 = 156,964/x
  3. Step 3: Cross multiply
    109,574x = 156,964 × 156,964
  4. Step 4: Simplify right side
    109,574x = 24,637,697,296
  5. Step 5: Solve for x
    x = 24,637,697,296/109,574
  6. Step 6: Final answer
    x = 224,849.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.