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Finding the Third Proportional to 52,468 and 112,421.75

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Solution

The third proportional to 52,468 and 112,421.75 is: 240,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,468 : 112,421.75 = 112,421.75 : x
  2. Step 2: Convert to fraction form
    52,468/112,421.75 = 112,421.75/x
  3. Step 3: Cross multiply
    52,468x = 112,421.75 × 112,421.75
  4. Step 4: Simplify right side
    52,468x = 12,638,649,873.06
  5. Step 5: Solve for x
    x = 12,638,649,873.06/52,468
  6. Step 6: Final answer
    x = 240,883.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.