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Finding the Third Proportional to 142,071 and 236,752.50

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Solution

The third proportional to 142,071 and 236,752.50 is: 394,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,071 : 236,752.50 = 236,752.50 : x
  2. Step 2: Convert to fraction form
    142,071/236,752.50 = 236,752.50/x
  3. Step 3: Cross multiply
    142,071x = 236,752.50 × 236,752.50
  4. Step 4: Simplify right side
    142,071x = 56,051,746,256.25
  5. Step 5: Solve for x
    x = 56,051,746,256.25/142,071
  6. Step 6: Final answer
    x = 394,533.34

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.