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Finding the Third Proportional to 60,265 and 93,313.50

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Solution

The third proportional to 60,265 and 93,313.50 is: 144,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,265 : 93,313.50 = 93,313.50 : x
  2. Step 2: Convert to fraction form
    60,265/93,313.50 = 93,313.50/x
  3. Step 3: Cross multiply
    60,265x = 93,313.50 × 93,313.50
  4. Step 4: Simplify right side
    60,265x = 8,707,409,282.25
  5. Step 5: Solve for x
    x = 8,707,409,282.25/60,265
  6. Step 6: Final answer
    x = 144,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.