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Finding the Third Proportional to 46,052 and 100,430

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Solution

The third proportional to 46,052 and 100,430 is: 219,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052 : 100,430 = 100,430 : x
  2. Step 2: Convert to fraction form
    46,052/100,430 = 100,430/x
  3. Step 3: Cross multiply
    46,052x = 100,430 × 100,430
  4. Step 4: Simplify right side
    46,052x = 10,086,184,900
  5. Step 5: Solve for x
    x = 10,086,184,900/46,052
  6. Step 6: Final answer
    x = 219,017.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.