Finding the Third Proportional to 105,264 and 157,398
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Solution
The third proportional to 105,264 and 157,398 is: 235,352.36
Step by Step Solution
- Step 1: Write the proportion equation
105,264 : 157,398 = 157,398 : x - Step 2: Convert to fraction form
105,264/157,398 = 157,398/x - Step 3: Cross multiply
105,264x = 157,398 × 157,398 - Step 4: Simplify right side
105,264x = 24,774,130,404 - Step 5: Solve for x
x = 24,774,130,404/105,264 - Step 6: Final answer
x = 235,352.36
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.