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Finding the Third Proportional to 88,064 and 189,952

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Solution

The third proportional to 88,064 and 189,952 is: 409,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,064 : 189,952 = 189,952 : x
  2. Step 2: Convert to fraction form
    88,064/189,952 = 189,952/x
  3. Step 3: Cross multiply
    88,064x = 189,952 × 189,952
  4. Step 4: Simplify right side
    88,064x = 36,081,762,304
  5. Step 5: Solve for x
    x = 36,081,762,304/88,064
  6. Step 6: Final answer
    x = 409,722.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.