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Finding the Third Proportional to 89,136 and 138,465

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Solution

The third proportional to 89,136 and 138,465 is: 215,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,136 : 138,465 = 138,465 : x
  2. Step 2: Convert to fraction form
    89,136/138,465 = 138,465/x
  3. Step 3: Cross multiply
    89,136x = 138,465 × 138,465
  4. Step 4: Simplify right side
    89,136x = 19,172,556,225
  5. Step 5: Solve for x
    x = 19,172,556,225/89,136
  6. Step 6: Final answer
    x = 215,093.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.