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Finding the Third Proportional to 63,043 and 134,430

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Solution

The third proportional to 63,043 and 134,430 is: 286,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,043 : 134,430 = 134,430 : x
  2. Step 2: Convert to fraction form
    63,043/134,430 = 134,430/x
  3. Step 3: Cross multiply
    63,043x = 134,430 × 134,430
  4. Step 4: Simplify right side
    63,043x = 18,071,424,900
  5. Step 5: Solve for x
    x = 18,071,424,900/63,043
  6. Step 6: Final answer
    x = 286,652.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.