Finding the Third Proportional to 42,104 and 97,466
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Solution
The third proportional to 42,104 and 97,466 is: 225,622.77
Step by Step Solution
- Step 1: Write the proportion equation
42,104 : 97,466 = 97,466 : x - Step 2: Convert to fraction form
42,104/97,466 = 97,466/x - Step 3: Cross multiply
42,104x = 97,466 × 97,466 - Step 4: Simplify right side
42,104x = 9,499,621,156 - Step 5: Solve for x
x = 9,499,621,156/42,104 - Step 6: Final answer
x = 225,622.77
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.