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Finding the Third Proportional to 60,678 and 94,977.50

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Solution

The third proportional to 60,678 and 94,977.50 is: 148,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,678 : 94,977.50 = 94,977.50 : x
  2. Step 2: Convert to fraction form
    60,678/94,977.50 = 94,977.50/x
  3. Step 3: Cross multiply
    60,678x = 94,977.50 × 94,977.50
  4. Step 4: Simplify right side
    60,678x = 9,020,725,506.25
  5. Step 5: Solve for x
    x = 9,020,725,506.25/60,678
  6. Step 6: Final answer
    x = 148,665.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.