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Finding the Third Proportional to 78,010 and 119,929

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Solution

The third proportional to 78,010 and 119,929 is: 184,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,010 : 119,929 = 119,929 : x
  2. Step 2: Convert to fraction form
    78,010/119,929 = 119,929/x
  3. Step 3: Cross multiply
    78,010x = 119,929 × 119,929
  4. Step 4: Simplify right side
    78,010x = 14,382,965,041
  5. Step 5: Solve for x
    x = 14,382,965,041/78,010
  6. Step 6: Final answer
    x = 184,373.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.