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Finding the Third Proportional to 46,435 and 101,772

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Solution

The third proportional to 46,435 and 101,772 is: 223,054.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,435 : 101,772 = 101,772 : x
  2. Step 2: Convert to fraction form
    46,435/101,772 = 101,772/x
  3. Step 3: Cross multiply
    46,435x = 101,772 × 101,772
  4. Step 4: Simplify right side
    46,435x = 10,357,539,984
  5. Step 5: Solve for x
    x = 10,357,539,984/46,435
  6. Step 6: Final answer
    x = 223,054.59

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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.