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Finding the Third Proportional to 77,534 and 122,973

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Solution

The third proportional to 77,534 and 122,973 is: 195,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534 : 122,973 = 122,973 : x
  2. Step 2: Convert to fraction form
    77,534/122,973 = 122,973/x
  3. Step 3: Cross multiply
    77,534x = 122,973 × 122,973
  4. Step 4: Simplify right side
    77,534x = 15,122,358,729
  5. Step 5: Solve for x
    x = 15,122,358,729/77,534
  6. Step 6: Final answer
    x = 195,041.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.