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Finding the Third Proportional to 88,010 and 186,460

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Solution

The third proportional to 88,010 and 186,460 is: 395,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,010 : 186,460 = 186,460 : x
  2. Step 2: Convert to fraction form
    88,010/186,460 = 186,460/x
  3. Step 3: Cross multiply
    88,010x = 186,460 × 186,460
  4. Step 4: Simplify right side
    88,010x = 34,767,331,600
  5. Step 5: Solve for x
    x = 34,767,331,600/88,010
  6. Step 6: Final answer
    x = 395,038.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.