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Finding the Third Proportional to 66,048.75 and 102,313.13

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Solution

The third proportional to 66,048.75 and 102,313.13 is: 158,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,048.75 : 102,313.13 = 102,313.13 : x
  2. Step 2: Convert to fraction form
    66,048.75/102,313.13 = 102,313.13/x
  3. Step 3: Cross multiply
    66,048.75x = 102,313.13 × 102,313.13
  4. Step 4: Simplify right side
    66,048.75x = 10,467,975,547.27
  5. Step 5: Solve for x
    x = 10,467,975,547.27/66,048.75
  6. Step 6: Final answer
    x = 158,488.62

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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.