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Finding the Third Proportional to 64,906 and 98,574

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Solution

The third proportional to 64,906 and 98,574 is: 149,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906 : 98,574 = 98,574 : x
  2. Step 2: Convert to fraction form
    64,906/98,574 = 98,574/x
  3. Step 3: Cross multiply
    64,906x = 98,574 × 98,574
  4. Step 4: Simplify right side
    64,906x = 9,716,833,476
  5. Step 5: Solve for x
    x = 9,716,833,476/64,906
  6. Step 6: Final answer
    x = 149,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.