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Finding the Third Proportional to 55,429.50 and 98,547

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Solution

The third proportional to 55,429.50 and 98,547 is: 175,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.50 : 98,547 = 98,547 : x
  2. Step 2: Convert to fraction form
    55,429.50/98,547 = 98,547/x
  3. Step 3: Cross multiply
    55,429.50x = 98,547 × 98,547
  4. Step 4: Simplify right side
    55,429.50x = 9,711,511,209
  5. Step 5: Solve for x
    x = 9,711,511,209/55,429.50
  6. Step 6: Final answer
    x = 175,204.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.