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Finding the Third Proportional to 41,547.47 and 88,079.63

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Solution

The third proportional to 41,547.47 and 88,079.63 is: 186,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547.47 : 88,079.63 = 88,079.63 : x
  2. Step 2: Convert to fraction form
    41,547.47/88,079.63 = 88,079.63/x
  3. Step 3: Cross multiply
    41,547.47x = 88,079.63 × 88,079.63
  4. Step 4: Simplify right side
    41,547.47x = 7,758,020,340.14
  5. Step 5: Solve for x
    x = 7,758,020,340.14/41,547.47
  6. Step 6: Final answer
    x = 186,726.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.