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Finding the Third Proportional to 122,714.75 and 180,030.75

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Solution

The third proportional to 122,714.75 and 180,030.75 is: 264,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,714.75 : 180,030.75 = 180,030.75 : x
  2. Step 2: Convert to fraction form
    122,714.75/180,030.75 = 180,030.75/x
  3. Step 3: Cross multiply
    122,714.75x = 180,030.75 × 180,030.75
  4. Step 4: Simplify right side
    122,714.75x = 32,411,070,945.56
  5. Step 5: Solve for x
    x = 32,411,070,945.56/122,714.75
  6. Step 6: Final answer
    x = 264,117.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.