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Finding the Third Proportional to 40,629 and 88,547

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Solution

The third proportional to 40,629 and 88,547 is: 192,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,629 : 88,547 = 88,547 : x
  2. Step 2: Convert to fraction form
    40,629/88,547 = 88,547/x
  3. Step 3: Cross multiply
    40,629x = 88,547 × 88,547
  4. Step 4: Simplify right side
    40,629x = 7,840,571,209
  5. Step 5: Solve for x
    x = 7,840,571,209/40,629
  6. Step 6: Final answer
    x = 192,979.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.