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Finding the Third Proportional to 91,018 and 186,572

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Solution

The third proportional to 91,018 and 186,572 is: 382,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,018 : 186,572 = 186,572 : x
  2. Step 2: Convert to fraction form
    91,018/186,572 = 186,572/x
  3. Step 3: Cross multiply
    91,018x = 186,572 × 186,572
  4. Step 4: Simplify right side
    91,018x = 34,809,111,184
  5. Step 5: Solve for x
    x = 34,809,111,184/91,018
  6. Step 6: Final answer
    x = 382,442.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.