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Finding the Third Proportional to 68,692 and 147,746

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Solution

The third proportional to 68,692 and 147,746 is: 317,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692 : 147,746 = 147,746 : x
  2. Step 2: Convert to fraction form
    68,692/147,746 = 147,746/x
  3. Step 3: Cross multiply
    68,692x = 147,746 × 147,746
  4. Step 4: Simplify right side
    68,692x = 21,828,880,516
  5. Step 5: Solve for x
    x = 21,828,880,516/68,692
  6. Step 6: Final answer
    x = 317,779.08

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Why These Related Problems?

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