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Finding the Third Proportional to 93,924 and 145,659

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Solution

The third proportional to 93,924 and 145,659 is: 225,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,924 : 145,659 = 145,659 : x
  2. Step 2: Convert to fraction form
    93,924/145,659 = 145,659/x
  3. Step 3: Cross multiply
    93,924x = 145,659 × 145,659
  4. Step 4: Simplify right side
    93,924x = 21,216,544,281
  5. Step 5: Solve for x
    x = 21,216,544,281/93,924
  6. Step 6: Final answer
    x = 225,890.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.