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Finding the Third Proportional to 96,747 and 145,688

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Solution

The third proportional to 96,747 and 145,688 is: 219,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,747 : 145,688 = 145,688 : x
  2. Step 2: Convert to fraction form
    96,747/145,688 = 145,688/x
  3. Step 3: Cross multiply
    96,747x = 145,688 × 145,688
  4. Step 4: Simplify right side
    96,747x = 21,224,993,344
  5. Step 5: Solve for x
    x = 21,224,993,344/96,747
  6. Step 6: Final answer
    x = 219,386.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.