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Finding the Third Proportional to 89,316 and 124,878

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Solution

The third proportional to 89,316 and 124,878 is: 174,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,316 : 124,878 = 124,878 : x
  2. Step 2: Convert to fraction form
    89,316/124,878 = 124,878/x
  3. Step 3: Cross multiply
    89,316x = 124,878 × 124,878
  4. Step 4: Simplify right side
    89,316x = 15,594,514,884
  5. Step 5: Solve for x
    x = 15,594,514,884/89,316
  6. Step 6: Final answer
    x = 174,599.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.