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Finding the Third Proportional to 55,973 and 88,628

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Solution

The third proportional to 55,973 and 88,628 is: 140,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973 : 88,628 = 88,628 : x
  2. Step 2: Convert to fraction form
    55,973/88,628 = 88,628/x
  3. Step 3: Cross multiply
    55,973x = 88,628 × 88,628
  4. Step 4: Simplify right side
    55,973x = 7,854,922,384
  5. Step 5: Solve for x
    x = 7,854,922,384/55,973
  6. Step 6: Final answer
    x = 140,334.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.