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Finding the Third Proportional to 58,635 and 138,277

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Solution

The third proportional to 58,635 and 138,277 is: 326,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,635 : 138,277 = 138,277 : x
  2. Step 2: Convert to fraction form
    58,635/138,277 = 138,277/x
  3. Step 3: Cross multiply
    58,635x = 138,277 × 138,277
  4. Step 4: Simplify right side
    58,635x = 19,120,528,729
  5. Step 5: Solve for x
    x = 19,120,528,729/58,635
  6. Step 6: Final answer
    x = 326,094.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.