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Finding the Third Proportional to 49,095 and 75,572

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Solution

The third proportional to 49,095 and 75,572 is: 116,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095 : 75,572 = 75,572 : x
  2. Step 2: Convert to fraction form
    49,095/75,572 = 75,572/x
  3. Step 3: Cross multiply
    49,095x = 75,572 × 75,572
  4. Step 4: Simplify right side
    49,095x = 5,711,127,184
  5. Step 5: Solve for x
    x = 5,711,127,184/49,095
  6. Step 6: Final answer
    x = 116,328.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.