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Finding the Third Proportional to 103,005 and 132,070.50

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Solution

The third proportional to 103,005 and 132,070.50 is: 169,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,005 : 132,070.50 = 132,070.50 : x
  2. Step 2: Convert to fraction form
    103,005/132,070.50 = 132,070.50/x
  3. Step 3: Cross multiply
    103,005x = 132,070.50 × 132,070.50
  4. Step 4: Simplify right side
    103,005x = 17,442,616,970.25
  5. Step 5: Solve for x
    x = 17,442,616,970.25/103,005
  6. Step 6: Final answer
    x = 169,337.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.