Finding the Third Proportional to 65,842 and 142,924
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Solution
The third proportional to 65,842 and 142,924 is: 310,246.80
Step by Step Solution
- Step 1: Write the proportion equation
65,842 : 142,924 = 142,924 : x - Step 2: Convert to fraction form
65,842/142,924 = 142,924/x - Step 3: Cross multiply
65,842x = 142,924 × 142,924 - Step 4: Simplify right side
65,842x = 20,427,269,776 - Step 5: Solve for x
x = 20,427,269,776/65,842 - Step 6: Final answer
x = 310,246.80
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.