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Finding the Third Proportional to 112,570.50 and 171,176.63

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Solution

The third proportional to 112,570.50 and 171,176.63 is: 260,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,570.50 : 171,176.63 = 171,176.63 : x
  2. Step 2: Convert to fraction form
    112,570.50/171,176.63 = 171,176.63/x
  3. Step 3: Cross multiply
    112,570.50x = 171,176.63 × 171,176.63
  4. Step 4: Simplify right side
    112,570.50x = 29,301,436,946.39
  5. Step 5: Solve for x
    x = 29,301,436,946.39/112,570.50
  6. Step 6: Final answer
    x = 260,294.10

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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.