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Finding the Third Proportional to 60,783 and 130,930.50

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Solution

The third proportional to 60,783 and 130,930.50 is: 282,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,783 : 130,930.50 = 130,930.50 : x
  2. Step 2: Convert to fraction form
    60,783/130,930.50 = 130,930.50/x
  3. Step 3: Cross multiply
    60,783x = 130,930.50 × 130,930.50
  4. Step 4: Simplify right side
    60,783x = 17,142,795,830.25
  5. Step 5: Solve for x
    x = 17,142,795,830.25/60,783
  6. Step 6: Final answer
    x = 282,032.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.