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Finding the Third Proportional to 58,895.25 and 93,806.25

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Solution

The third proportional to 58,895.25 and 93,806.25 is: 149,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,895.25 : 93,806.25 = 93,806.25 : x
  2. Step 2: Convert to fraction form
    58,895.25/93,806.25 = 93,806.25/x
  3. Step 3: Cross multiply
    58,895.25x = 93,806.25 × 93,806.25
  4. Step 4: Simplify right side
    58,895.25x = 8,799,612,539.06
  5. Step 5: Solve for x
    x = 8,799,612,539.06/58,895.25
  6. Step 6: Final answer
    x = 149,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.