Finding the Third Proportional to 75,952.69 and 157,965.19
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Solution
The third proportional to 75,952.69 and 157,965.19 is: 328,533.48
Step by Step Solution
- Step 1: Write the proportion equation
75,952.69 : 157,965.19 = 157,965.19 : x - Step 2: Convert to fraction form
75,952.69/157,965.19 = 157,965.19/x - Step 3: Cross multiply
75,952.69x = 157,965.19 × 157,965.19 - Step 4: Simplify right side
75,952.69x = 24,953,000,461.91 - Step 5: Solve for x
x = 24,953,000,461.91/75,952.69 - Step 6: Final answer
x = 328,533.48
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.