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Finding the Third Proportional to 112,920 and 245,527.50

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Solution

The third proportional to 112,920 and 245,527.50 is: 533,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,920 : 245,527.50 = 245,527.50 : x
  2. Step 2: Convert to fraction form
    112,920/245,527.50 = 245,527.50/x
  3. Step 3: Cross multiply
    112,920x = 245,527.50 × 245,527.50
  4. Step 4: Simplify right side
    112,920x = 60,283,753,256.25
  5. Step 5: Solve for x
    x = 60,283,753,256.25/112,920
  6. Step 6: Final answer
    x = 533,862.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.