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Finding the Third Proportional to 106,496 and 161,688

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Solution

The third proportional to 106,496 and 161,688 is: 245,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,496 : 161,688 = 161,688 : x
  2. Step 2: Convert to fraction form
    106,496/161,688 = 161,688/x
  3. Step 3: Cross multiply
    106,496x = 161,688 × 161,688
  4. Step 4: Simplify right side
    106,496x = 26,143,009,344
  5. Step 5: Solve for x
    x = 26,143,009,344/106,496
  6. Step 6: Final answer
    x = 245,483.49

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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.