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Finding the Third Proportional to 77,735 and 120,038

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Solution

The third proportional to 77,735 and 120,038 is: 185,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,735 : 120,038 = 120,038 : x
  2. Step 2: Convert to fraction form
    77,735/120,038 = 120,038/x
  3. Step 3: Cross multiply
    77,735x = 120,038 × 120,038
  4. Step 4: Simplify right side
    77,735x = 14,409,121,444
  5. Step 5: Solve for x
    x = 14,409,121,444/77,735
  6. Step 6: Final answer
    x = 185,362.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.