Finding the Third Proportional to 45,702 and 97,224
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Solution
The third proportional to 45,702 and 97,224 is: 206,829.16
Step by Step Solution
- Step 1: Write the proportion equation
45,702 : 97,224 = 97,224 : x - Step 2: Convert to fraction form
45,702/97,224 = 97,224/x - Step 3: Cross multiply
45,702x = 97,224 × 97,224 - Step 4: Simplify right side
45,702x = 9,452,506,176 - Step 5: Solve for x
x = 9,452,506,176/45,702 - Step 6: Final answer
x = 206,829.16
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.