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Finding the Third Proportional to 74,816 and 163,710

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Solution

The third proportional to 74,816 and 163,710 is: 358,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,816 : 163,710 = 163,710 : x
  2. Step 2: Convert to fraction form
    74,816/163,710 = 163,710/x
  3. Step 3: Cross multiply
    74,816x = 163,710 × 163,710
  4. Step 4: Simplify right side
    74,816x = 26,800,964,100
  5. Step 5: Solve for x
    x = 26,800,964,100/74,816
  6. Step 6: Final answer
    x = 358,225.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.