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Finding the Third Proportional to 77,076 and 168,880.50

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Solution

The third proportional to 77,076 and 168,880.50 is: 370,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076 : 168,880.50 = 168,880.50 : x
  2. Step 2: Convert to fraction form
    77,076/168,880.50 = 168,880.50/x
  3. Step 3: Cross multiply
    77,076x = 168,880.50 × 168,880.50
  4. Step 4: Simplify right side
    77,076x = 28,520,623,280.25
  5. Step 5: Solve for x
    x = 28,520,623,280.25/77,076
  6. Step 6: Final answer
    x = 370,032.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.