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Finding the Third Proportional to 66,210.75 and 101,300.63

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Solution

The third proportional to 66,210.75 and 101,300.63 is: 154,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,210.75 : 101,300.63 = 101,300.63 : x
  2. Step 2: Convert to fraction form
    66,210.75/101,300.63 = 101,300.63/x
  3. Step 3: Cross multiply
    66,210.75x = 101,300.63 × 101,300.63
  4. Step 4: Simplify right side
    66,210.75x = 10,261,816,625.39
  5. Step 5: Solve for x
    x = 10,261,816,625.39/66,210.75
  6. Step 6: Final answer
    x = 154,987.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.