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Finding the Third Proportional to 53,095.50 and 78,639.75

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Solution

The third proportional to 53,095.50 and 78,639.75 is: 116,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.50 : 78,639.75 = 78,639.75 : x
  2. Step 2: Convert to fraction form
    53,095.50/78,639.75 = 78,639.75/x
  3. Step 3: Cross multiply
    53,095.50x = 78,639.75 × 78,639.75
  4. Step 4: Simplify right side
    53,095.50x = 6,184,210,280.06
  5. Step 5: Solve for x
    x = 6,184,210,280.06/53,095.50
  6. Step 6: Final answer
    x = 116,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.