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Finding the Third Proportional to 132,010 and 175,046

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Solution

The third proportional to 132,010 and 175,046 is: 232,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,010 : 175,046 = 175,046 : x
  2. Step 2: Convert to fraction form
    132,010/175,046 = 175,046/x
  3. Step 3: Cross multiply
    132,010x = 175,046 × 175,046
  4. Step 4: Simplify right side
    132,010x = 30,641,102,116
  5. Step 5: Solve for x
    x = 30,641,102,116/132,010
  6. Step 6: Final answer
    x = 232,111.98

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.