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Finding the Third Proportional to 112,850 and 171,492

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Solution

The third proportional to 112,850 and 171,492 is: 260,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,850 : 171,492 = 171,492 : x
  2. Step 2: Convert to fraction form
    112,850/171,492 = 171,492/x
  3. Step 3: Cross multiply
    112,850x = 171,492 × 171,492
  4. Step 4: Simplify right side
    112,850x = 29,409,506,064
  5. Step 5: Solve for x
    x = 29,409,506,064/112,850
  6. Step 6: Final answer
    x = 260,607.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.