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Finding the Third Proportional to 86,904.77 and 124,038.21

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Solution

The third proportional to 86,904.77 and 124,038.21 is: 177,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,904.77 : 124,038.21 = 124,038.21 : x
  2. Step 2: Convert to fraction form
    86,904.77/124,038.21 = 124,038.21/x
  3. Step 3: Cross multiply
    86,904.77x = 124,038.21 × 124,038.21
  4. Step 4: Simplify right side
    86,904.77x = 15,385,477,772.58
  5. Step 5: Solve for x
    x = 15,385,477,772.58/86,904.77
  6. Step 6: Final answer
    x = 177,038.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.