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Finding the Third Proportional to 89,316 and 138,237

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Solution

The third proportional to 89,316 and 138,237 is: 213,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316 : 138,237 = 138,237 : x
  2. Step 2: Convert to fraction form
    89,316/138,237 = 138,237/x
  3. Step 3: Cross multiply
    89,316x = 138,237 × 138,237
  4. Step 4: Simplify right side
    89,316x = 19,109,468,169
  5. Step 5: Solve for x
    x = 19,109,468,169/89,316
  6. Step 6: Final answer
    x = 213,953.47

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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.