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Finding the Third Proportional to 122,528.63 and 187,397.63

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Solution

The third proportional to 122,528.63 and 187,397.63 is: 286,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,528.63 : 187,397.63 = 187,397.63 : x
  2. Step 2: Convert to fraction form
    122,528.63/187,397.63 = 187,397.63/x
  3. Step 3: Cross multiply
    122,528.63x = 187,397.63 × 187,397.63
  4. Step 4: Simplify right side
    122,528.63x = 35,117,869,855.64
  5. Step 5: Solve for x
    x = 35,117,869,855.64/122,528.63
  6. Step 6: Final answer
    x = 286,609.52

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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.