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Finding the Third Proportional to 94,446 and 147,413.25

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Solution

The third proportional to 94,446 and 147,413.25 is: 230,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446 : 147,413.25 = 147,413.25 : x
  2. Step 2: Convert to fraction form
    94,446/147,413.25 = 147,413.25/x
  3. Step 3: Cross multiply
    94,446x = 147,413.25 × 147,413.25
  4. Step 4: Simplify right side
    94,446x = 21,730,666,275.56
  5. Step 5: Solve for x
    x = 21,730,666,275.56/94,446
  6. Step 6: Final answer
    x = 230,085.62

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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.