Finding the Third Proportional to 72,705 and 109,422
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Solution
The third proportional to 72,705 and 109,422 is: 164,681.58
Step by Step Solution
- Step 1: Write the proportion equation
72,705 : 109,422 = 109,422 : x - Step 2: Convert to fraction form
72,705/109,422 = 109,422/x - Step 3: Cross multiply
72,705x = 109,422 × 109,422 - Step 4: Simplify right side
72,705x = 11,973,174,084 - Step 5: Solve for x
x = 11,973,174,084/72,705 - Step 6: Final answer
x = 164,681.58
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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.