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Finding the Third Proportional to 112,160.63 and 172,398

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Solution

The third proportional to 112,160.63 and 172,398 is: 264,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,160.63 : 172,398 = 172,398 : x
  2. Step 2: Convert to fraction form
    112,160.63/172,398 = 172,398/x
  3. Step 3: Cross multiply
    112,160.63x = 172,398 × 172,398
  4. Step 4: Simplify right side
    112,160.63x = 29,721,070,404
  5. Step 5: Solve for x
    x = 29,721,070,404/112,160.63
  6. Step 6: Final answer
    x = 264,986.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.