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Finding the Third Proportional to 144,837.75 and 212,071.88

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Solution

The third proportional to 144,837.75 and 212,071.88 is: 310,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,837.75 : 212,071.88 = 212,071.88 : x
  2. Step 2: Convert to fraction form
    144,837.75/212,071.88 = 212,071.88/x
  3. Step 3: Cross multiply
    144,837.75x = 212,071.88 × 212,071.88
  4. Step 4: Simplify right side
    144,837.75x = 44,974,480,166.02
  5. Step 5: Solve for x
    x = 44,974,480,166.02/144,837.75
  6. Step 6: Final answer
    x = 310,516.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.