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Finding the Third Proportional to 72,465 and 154,881.75

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Solution

The third proportional to 72,465 and 154,881.75 is: 331,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,465 : 154,881.75 = 154,881.75 : x
  2. Step 2: Convert to fraction form
    72,465/154,881.75 = 154,881.75/x
  3. Step 3: Cross multiply
    72,465x = 154,881.75 × 154,881.75
  4. Step 4: Simplify right side
    72,465x = 23,988,356,483.06
  5. Step 5: Solve for x
    x = 23,988,356,483.06/72,465
  6. Step 6: Final answer
    x = 331,033.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.