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Finding the Third Proportional to 36,178 and 77,547

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Solution

The third proportional to 36,178 and 77,547 is: 166,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178 : 77,547 = 77,547 : x
  2. Step 2: Convert to fraction form
    36,178/77,547 = 77,547/x
  3. Step 3: Cross multiply
    36,178x = 77,547 × 77,547
  4. Step 4: Simplify right side
    36,178x = 6,013,537,209
  5. Step 5: Solve for x
    x = 6,013,537,209/36,178
  6. Step 6: Final answer
    x = 166,220.83

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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.