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Finding the Third Proportional to 60,116 and 93,813

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Solution

The third proportional to 60,116 and 93,813 is: 146,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,116 : 93,813 = 93,813 : x
  2. Step 2: Convert to fraction form
    60,116/93,813 = 93,813/x
  3. Step 3: Cross multiply
    60,116x = 93,813 × 93,813
  4. Step 4: Simplify right side
    60,116x = 8,800,878,969
  5. Step 5: Solve for x
    x = 8,800,878,969/60,116
  6. Step 6: Final answer
    x = 146,398.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.