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Finding the Third Proportional to 72,646.88 and 113,275.13

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Solution

The third proportional to 72,646.88 and 113,275.13 is: 176,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,646.88 : 113,275.13 = 113,275.13 : x
  2. Step 2: Convert to fraction form
    72,646.88/113,275.13 = 113,275.13/x
  3. Step 3: Cross multiply
    72,646.88x = 113,275.13 × 113,275.13
  4. Step 4: Simplify right side
    72,646.88x = 12,831,253,943.77
  5. Step 5: Solve for x
    x = 12,831,253,943.77/72,646.88
  6. Step 6: Final answer
    x = 176,625.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.