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Finding the Third Proportional to 102,929.06 and 148,651.88

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Solution

The third proportional to 102,929.06 and 148,651.88 is: 214,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,929.06 : 148,651.88 = 148,651.88 : x
  2. Step 2: Convert to fraction form
    102,929.06/148,651.88 = 148,651.88/x
  3. Step 3: Cross multiply
    102,929.06x = 148,651.88 × 148,651.88
  4. Step 4: Simplify right side
    102,929.06x = 22,097,379,941.02
  5. Step 5: Solve for x
    x = 22,097,379,941.02/102,929.06
  6. Step 6: Final answer
    x = 214,685.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.