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Finding the Third Proportional to 109,526 and 156,513

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Solution

The third proportional to 109,526 and 156,513 is: 223,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,526 : 156,513 = 156,513 : x
  2. Step 2: Convert to fraction form
    109,526/156,513 = 156,513/x
  3. Step 3: Cross multiply
    109,526x = 156,513 × 156,513
  4. Step 4: Simplify right side
    109,526x = 24,496,319,169
  5. Step 5: Solve for x
    x = 24,496,319,169/109,526
  6. Step 6: Final answer
    x = 223,657.57

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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.