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Finding the Third Proportional to 66,541.50 and 136,187.50

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Solution

The third proportional to 66,541.50 and 136,187.50 is: 278,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,541.50 : 136,187.50 = 136,187.50 : x
  2. Step 2: Convert to fraction form
    66,541.50/136,187.50 = 136,187.50/x
  3. Step 3: Cross multiply
    66,541.50x = 136,187.50 × 136,187.50
  4. Step 4: Simplify right side
    66,541.50x = 18,547,035,156.25
  5. Step 5: Solve for x
    x = 18,547,035,156.25/66,541.50
  6. Step 6: Final answer
    x = 278,728.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.