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Finding the Third Proportional to 57,718.50 and 92,207

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Solution

The third proportional to 57,718.50 and 92,207 is: 147,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,718.50 : 92,207 = 92,207 : x
  2. Step 2: Convert to fraction form
    57,718.50/92,207 = 92,207/x
  3. Step 3: Cross multiply
    57,718.50x = 92,207 × 92,207
  4. Step 4: Simplify right side
    57,718.50x = 8,502,130,849
  5. Step 5: Solve for x
    x = 8,502,130,849/57,718.50
  6. Step 6: Final answer
    x = 147,303.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.