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Finding the Third Proportional to 95,038.31 and 142,276.50

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Solution

The third proportional to 95,038.31 and 142,276.50 is: 212,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,038.31 : 142,276.50 = 142,276.50 : x
  2. Step 2: Convert to fraction form
    95,038.31/142,276.50 = 142,276.50/x
  3. Step 3: Cross multiply
    95,038.31x = 142,276.50 × 142,276.50
  4. Step 4: Simplify right side
    95,038.31x = 20,242,602,452.25
  5. Step 5: Solve for x
    x = 20,242,602,452.25/95,038.31
  6. Step 6: Final answer
    x = 212,994.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.