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Finding the Third Proportional to 98,772 and 160,470

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Solution

The third proportional to 98,772 and 160,470 is: 260,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,772 : 160,470 = 160,470 : x
  2. Step 2: Convert to fraction form
    98,772/160,470 = 160,470/x
  3. Step 3: Cross multiply
    98,772x = 160,470 × 160,470
  4. Step 4: Simplify right side
    98,772x = 25,750,620,900
  5. Step 5: Solve for x
    x = 25,750,620,900/98,772
  6. Step 6: Final answer
    x = 260,707.70

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.