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Finding the Third Proportional to 109,360 and 178,572

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Solution

The third proportional to 109,360 and 178,572 is: 291,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360 : 178,572 = 178,572 : x
  2. Step 2: Convert to fraction form
    109,360/178,572 = 178,572/x
  3. Step 3: Cross multiply
    109,360x = 178,572 × 178,572
  4. Step 4: Simplify right side
    109,360x = 31,887,959,184
  5. Step 5: Solve for x
    x = 31,887,959,184/109,360
  6. Step 6: Final answer
    x = 291,587.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.