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Finding the Third Proportional to 53,217 and 79,364.25

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Solution

The third proportional to 53,217 and 79,364.25 is: 118,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217 : 79,364.25 = 79,364.25 : x
  2. Step 2: Convert to fraction form
    53,217/79,364.25 = 79,364.25/x
  3. Step 3: Cross multiply
    53,217x = 79,364.25 × 79,364.25
  4. Step 4: Simplify right side
    53,217x = 6,298,684,178.06
  5. Step 5: Solve for x
    x = 6,298,684,178.06/53,217
  6. Step 6: Final answer
    x = 118,358.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.