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Finding the Third Proportional to 72,153.75 and 105,437.63

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Solution

The third proportional to 72,153.75 and 105,437.63 is: 154,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,153.75 : 105,437.63 = 105,437.63 : x
  2. Step 2: Convert to fraction form
    72,153.75/105,437.63 = 105,437.63/x
  3. Step 3: Cross multiply
    72,153.75x = 105,437.63 × 105,437.63
  4. Step 4: Simplify right side
    72,153.75x = 11,117,092,765.64
  5. Step 5: Solve for x
    x = 11,117,092,765.64/72,153.75
  6. Step 6: Final answer
    x = 154,075.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.