Finding the Third Proportional to 105,385.13 and 160,703.63
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Solution
The third proportional to 105,385.13 and 160,703.63 is: 245,059.78
Step by Step Solution
- Step 1: Write the proportion equation
105,385.13 : 160,703.63 = 160,703.63 : x - Step 2: Convert to fraction form
105,385.13/160,703.63 = 160,703.63/x - Step 3: Cross multiply
105,385.13x = 160,703.63 × 160,703.63 - Step 4: Simplify right side
105,385.13x = 25,825,655,088.14 - Step 5: Solve for x
x = 25,825,655,088.14/105,385.13 - Step 6: Final answer
x = 245,059.78
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.