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Finding the Third Proportional to 113,701.50 and 176,547.38

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Solution

The third proportional to 113,701.50 and 176,547.38 is: 274,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,701.50 : 176,547.38 = 176,547.38 : x
  2. Step 2: Convert to fraction form
    113,701.50/176,547.38 = 176,547.38/x
  3. Step 3: Cross multiply
    113,701.50x = 176,547.38 × 176,547.38
  4. Step 4: Simplify right side
    113,701.50x = 31,168,975,619.39
  5. Step 5: Solve for x
    x = 31,168,975,619.39/113,701.50
  6. Step 6: Final answer
    x = 274,129.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.