Finding the Third Proportional to 105,730 and 154,624
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Solution
The third proportional to 105,730 and 154,624 is: 226,128.64
Step by Step Solution
- Step 1: Write the proportion equation
105,730 : 154,624 = 154,624 : x - Step 2: Convert to fraction form
105,730/154,624 = 154,624/x - Step 3: Cross multiply
105,730x = 154,624 × 154,624 - Step 4: Simplify right side
105,730x = 23,908,581,376 - Step 5: Solve for x
x = 23,908,581,376/105,730 - Step 6: Final answer
x = 226,128.64
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.