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Finding the Third Proportional to 72,582 and 155,005.50

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Solution

The third proportional to 72,582 and 155,005.50 is: 331,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582 : 155,005.50 = 155,005.50 : x
  2. Step 2: Convert to fraction form
    72,582/155,005.50 = 155,005.50/x
  3. Step 3: Cross multiply
    72,582x = 155,005.50 × 155,005.50
  4. Step 4: Simplify right side
    72,582x = 24,026,705,030.25
  5. Step 5: Solve for x
    x = 24,026,705,030.25/72,582
  6. Step 6: Final answer
    x = 331,028.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.