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Finding the Third Proportional to 112,913 and 165,129

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Solution

The third proportional to 112,913 and 165,129 is: 241,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,913 : 165,129 = 165,129 : x
  2. Step 2: Convert to fraction form
    112,913/165,129 = 165,129/x
  3. Step 3: Cross multiply
    112,913x = 165,129 × 165,129
  4. Step 4: Simplify right side
    112,913x = 27,267,586,641
  5. Step 5: Solve for x
    x = 27,267,586,641/112,913
  6. Step 6: Final answer
    x = 241,492.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.