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Finding the Third Proportional to 61,341 and 93,346.50

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Solution

The third proportional to 61,341 and 93,346.50 is: 142,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,341 : 93,346.50 = 93,346.50 : x
  2. Step 2: Convert to fraction form
    61,341/93,346.50 = 93,346.50/x
  3. Step 3: Cross multiply
    61,341x = 93,346.50 × 93,346.50
  4. Step 4: Simplify right side
    61,341x = 8,713,569,062.25
  5. Step 5: Solve for x
    x = 8,713,569,062.25/61,341
  6. Step 6: Final answer
    x = 142,051.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.