Finding the Third Proportional to 106,958.25 and 164,417.06
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Solution
The third proportional to 106,958.25 and 164,417.06 is: 252,743.20
Step by Step Solution
- Step 1: Write the proportion equation
106,958.25 : 164,417.06 = 164,417.06 : x - Step 2: Convert to fraction form
106,958.25/164,417.06 = 164,417.06/x - Step 3: Cross multiply
106,958.25x = 164,417.06 × 164,417.06 - Step 4: Simplify right side
106,958.25x = 27,032,970,441.13 - Step 5: Solve for x
x = 27,032,970,441.13/106,958.25 - Step 6: Final answer
x = 252,743.20
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.