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Finding the Third Proportional to 123,465 and 186,925.50

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Solution

The third proportional to 123,465 and 186,925.50 is: 283,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465 : 186,925.50 = 186,925.50 : x
  2. Step 2: Convert to fraction form
    123,465/186,925.50 = 186,925.50/x
  3. Step 3: Cross multiply
    123,465x = 186,925.50 × 186,925.50
  4. Step 4: Simplify right side
    123,465x = 34,941,142,550.25
  5. Step 5: Solve for x
    x = 34,941,142,550.25/123,465
  6. Step 6: Final answer
    x = 283,004.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.