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Finding the Third Proportional to 100,658 and 235,085

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Solution

The third proportional to 100,658 and 235,085 is: 549,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658 : 235,085 = 235,085 : x
  2. Step 2: Convert to fraction form
    100,658/235,085 = 235,085/x
  3. Step 3: Cross multiply
    100,658x = 235,085 × 235,085
  4. Step 4: Simplify right side
    100,658x = 55,264,957,225
  5. Step 5: Solve for x
    x = 55,264,957,225/100,658
  6. Step 6: Final answer
    x = 549,036.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.