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Finding the Third Proportional to 88,618 and 119,391

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Solution

The third proportional to 88,618 and 119,391 is: 160,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,618 : 119,391 = 119,391 : x
  2. Step 2: Convert to fraction form
    88,618/119,391 = 119,391/x
  3. Step 3: Cross multiply
    88,618x = 119,391 × 119,391
  4. Step 4: Simplify right side
    88,618x = 14,254,210,881
  5. Step 5: Solve for x
    x = 14,254,210,881/88,618
  6. Step 6: Final answer
    x = 160,850.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.