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Finding the Third Proportional to 125,666.63 and 175,788

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Solution

The third proportional to 125,666.63 and 175,788 is: 245,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,666.63 : 175,788 = 175,788 : x
  2. Step 2: Convert to fraction form
    125,666.63/175,788 = 175,788/x
  3. Step 3: Cross multiply
    125,666.63x = 175,788 × 175,788
  4. Step 4: Simplify right side
    125,666.63x = 30,901,420,944
  5. Step 5: Solve for x
    x = 30,901,420,944/125,666.63
  6. Step 6: Final answer
    x = 245,899.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.