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Finding the Third Proportional to 36,585 and 78,354

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Solution

The third proportional to 36,585 and 78,354 is: 167,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 78,354 = 78,354 : x
  2. Step 2: Convert to fraction form
    36,585/78,354 = 78,354/x
  3. Step 3: Cross multiply
    36,585x = 78,354 × 78,354
  4. Step 4: Simplify right side
    36,585x = 6,139,349,316
  5. Step 5: Solve for x
    x = 6,139,349,316/36,585
  6. Step 6: Final answer
    x = 167,810.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.