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Finding the Third Proportional to 72,752.63 and 106,304.63

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Solution

The third proportional to 72,752.63 and 106,304.63 is: 155,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,752.63 : 106,304.63 = 106,304.63 : x
  2. Step 2: Convert to fraction form
    72,752.63/106,304.63 = 106,304.63/x
  3. Step 3: Cross multiply
    72,752.63x = 106,304.63 × 106,304.63
  4. Step 4: Simplify right side
    72,752.63x = 11,300,673,296.39
  5. Step 5: Solve for x
    x = 11,300,673,296.39/72,752.63
  6. Step 6: Final answer
    x = 155,330.11

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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.